4 papers · 1 filter
Asymptotic stability of planar viscous shock wave to three-dimensional relaxed compressible Navier-Stokes equations
Renyong Guan, Yuxi Hu
This paper establishes the nonlinear time-asymptotic stability of shifted planar viscous shock waves for the three-dimensional relaxed compressible Navier-Stokes equations, in whic…
Blowup of solutions for compressible viscoelastic fluid
Sébastien Boyaval, Na Wang, Yuxi Hu
We prove finite-time blowup of classical solutions for the compressible Upper Convective Maxwell (UCM) viscoelastic fluid system. By establishing a key energy identity and adapting…
Global Spherically Symmetric Solutions and Relaxation Limit for the Relaxed Compressible Navier-Stokes Equations
Yuxi Hu, Mengran Yuan
This paper studies an initial boundary value problem for the multidimensional hyperbolized compressible Navier-Stokes equations, in which the classical Newtonian law is replaced by…
Global well-posedness and relaxation limit for relaxed compressible Navier-Stokes-Fourier equations in bounded domain
Yuxi Hu, Xiaoning Zhao
This paper investigates an initial boundary value problem for the relaxed one-dimensional compressible Navier-Stokes-Fourier equations. By transforming the system into Lagrangian c…